Introductory Statistics: Exploring the World through Data, 1e Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through Data, 1e by Gould and Ryan Sections 9.2-9.3 Inferring Population Means © 2013 Pearson Education, Inc.

The t-distributions are symmetric unimodal “bell-shaped” all of the above © 2013 Pearson Education, Inc.

Compared to the z-distribution, the t-distribution has thinner tails thicker tails taller peaks more peaks © 2013 Pearson Education, Inc.

The t-distribution’s shape depends on only one parameter, called the mean standard deviation degrees of freedom all of the above © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False Ultimately, when df is infinitely large, the t-distribution is exactly the same as the N(0, 1) distribution. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False A confidence interval can be interpreted as a range of plausible values for the population parameter. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False The confidence level is a measure of how well the method used to produce the confidence interval performs. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. Which of the following are way(s) in which we can report a confidence interval? (lower boundary, upper boundary) Estimate ± margin of error Mean ± standard deviation both A and B above © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False Hypotheses are always statements about population statistics. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False In hypothesis testing, values of the t-statistic that are far from 0 tend to discredit the null hypothesis. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. True or False The p-value tells us the probability that we would get a t-statistic as extreme as or more extreme than what we observed. True False © 2013 Pearson Education, Inc.

© 2013 Pearson Education, Inc. There are three basic pairs of hypotheses. The two-tailed one-sample t-test has the following hypotheses: H0: μ = μ0 and Ha: μ < μ0 H0: μ = μ0 and Ha: μ ≠ μ0 H0: μ = μ0 and Ha: μ > μ0 H0: μ ≠ μ0 and Ha: μ = μ0 © 2013 Pearson Education, Inc.